5. A flexible massless rope is placed over a cylinder of radius R. A tension T'is applied to each end of the rope, which remains sta- tionary (see Fig. 5.56). Show that each small segment de of the rope in contact with the cylinder pushes against the cylinder with a force Tde in the radial direction. By integration of the forces exerted by all the small segments, show that the net vertical force on the cylinder is 27 and the net horizontal force is zero. R d T T FIGURE 5.56 Rope and cylinder.